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97496699981184 = 2733741181154277
BaseRepresentation
bin10110001010110000111000…
…001010110100110110000000
3110210012121000122200122022000
4112022300320022310312000
5100234341220143344214
6543205210551344000
726351622054103440
oct2612607012646600
9423177018618260
1097496699981184
112907a133450a19
12ab2761b682000
134252b8cb7606a
141a10c18b5a120
15b411a6105809
hex58ac382b4d80

97496699981184 has 512 divisors, whose sum is σ = 337071069619200. Its totient is φ = 27161273548800.

The previous prime is 97496699981129. The next prime is 97496699981203. The reversal of 97496699981184 is 48118999669479.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 97496699981094 and 97496699981103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1796253054 + ... + 1796307330.

It is an arithmetic number, because the mean of its divisors is an integer number (658341932850).

Almost surely, 297496699981184 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97496699981184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168535534809600).

97496699981184 is an abundant number, since it is smaller than the sum of its proper divisors (239574369638016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

97496699981184 is a wasteful number, since it uses less digits than its factorization.

97496699981184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56159 (or 56141 counting only the distinct ones).

The product of its digits is 15237476352, while the sum is 90.

The spelling of 97496699981184 in words is "ninety-seven trillion, four hundred ninety-six billion, six hundred ninety-nine million, nine hundred eighty-one thousand, one hundred eighty-four".